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Finding the Fourth Proportional to 1,158.46, 1,599.42 and 1,033.91

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Solution

The fourth proportional to 1,158.46, 1,599.42 and 1,033.91 is: 1,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.46 : 1,599.42 = 1,033.91 : x
  2. Step 2: Convert to fraction form
    1,158.46/1,599.42 = 1,033.91/x
  3. Step 3: Cross multiply
    1,158.46x = 1,599.42 × 1,033.91
  4. Step 4: Simplify right side
    1,158.46x = 1,653,648.34
  5. Step 5: Solve for x
    x = 1,653,648.34/1,158.46
  6. Step 6: Final answer
    x = 1,427.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.